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how to get Mathematica to reduce simple expressions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45146] how to get Mathematica to reduce simple expressions?
  • From: Peter Jay Salzman <p at dirac.org>
  • Date: Thu, 18 Dec 2003 06:55:20 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi all,

I've been using Mathematica to check some of my calculations, and one of the
integrals,

4 Pi Integrate[r^2 Bra[r,t] Ket[r,t], {r, 0, Infinity}, 
   Assumptions -> {Re[m^2*a/(m^2 + t^2*a^2*h^2)] > 0}]
   // FullSimplify



yielded the result:



Out[176]=
                   2
        3/2       m        3/2
       a    (-------------)
              2    2  2  2
             m  + t  a  h 
       -----------------------
               2
              m  a       3/2
          (-------------)
            2    2  2  2
           m  + t  a  h


which is 1.  i'm more curious than anything else:  how do i coax Mathematica to
reduce this seemingly simple expression?

why is Mathematica doing this?

thanks!
pete

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